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Scalable time-constrained planning of multi-robot systems.

Alexandros Nikou1, Shahab Heshmati-Alamdari1, Dimos V Dimarogonas1

  • 1Division of Decision and Control, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden.

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Summary

This study introduces a scalable method for multi-robot planning under uncertainty. It enables decentralized control for robots to achieve complex tasks, ensuring safety and efficiency in real-world applications.

Keywords:
AbstractionsCooperative controlDecentralized controlMetric interval temporal logic (MITL)Multi-robot systemsNonlinear model predictive control (NMPC)Robust control

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Area of Science:

  • Robotics
  • Control Systems
  • Artificial Intelligence

Background:

  • Multi-robot systems require robust planning for complex tasks.
  • Decentralized control is crucial for scalability and local information usage.
  • Uncertainty and temporal logic specifications pose significant challenges.

Purpose of the Study:

  • To develop a scalable, time-constrained planning procedure for uncertain nonlinear multi-robot systems.
  • To design decentralized and robust control laws for individual robot specifications.
  • To ensure collision avoidance and meet transient constraints.

Main Methods:

  • Utilizes decentralized finite-horizon optimal control (DFHOCP) for online nominal control.
  • Employs an offline additive state feedback law for trajectory robustness.
  • Models robot transitions using individual weighted transition systems (WTS).
  • Scalability achieved without product computation among WTS.

Main Results:

  • The proposed decentralized controllers ensure robots meet metric interval temporal logic (MITL) specifications.
  • Collision avoidance and desired transient behaviors are guaranteed.
  • The framework demonstrates scalability for a large number of robots (N).

Conclusions:

  • The developed framework is scalable and effective for time-constrained planning in uncertain multi-robot systems.
  • Experimental validation confirms the approach's promise for robotic and industrial applications.
  • Decentralized control using local information is feasible for complex multi-robot coordination.